Search a number
-
+
10141411412403 = 332929574380113
BaseRepresentation
bin1001001110010011101100…
…1110011000100110110011
31022220111202101202022102000
42103210323032120212303
52312124102310144103
633322522230225043
72064456425460465
oct223447316304663
938814671668360
1010141411412403
11325aa483a1197
1211795821b5183
1358743c26368b
14270bbdda0135
15128c04a10aa3
hex9393b3989b3

10141411412403 has 32 divisors (see below), whose sum is σ = 15547652654400. Its totient is φ = 6525595980288.

The previous prime is 10141411412371. The next prime is 10141411412411. The reversal of 10141411412403 is 30421411414101.

10141411412403 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 411 + 4 + 1 + 240 + 3 = 666.

It is not a de Polignac number, because 10141411412403 - 25 = 10141411412371 is a prime.

It is a super-2 number, since 2×101414114124032 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10141411412453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125275 + ... + 4505387.

It is an arithmetic number, because the mean of its divisors is an integer number (485864145450).

Almost surely, 210141411412403 is an apocalyptic number.

10141411412403 is a deficient number, since it is larger than the sum of its proper divisors (5406241241997).

10141411412403 is a wasteful number, since it uses less digits than its factorization.

10141411412403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383108 (or 4383102 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10141411412403 its reverse (30421411414101), we get a palindrome (40562822826504).

The spelling of 10141411412403 in words is "ten trillion, one hundred forty-one billion, four hundred eleven million, four hundred twelve thousand, four hundred three".

Divisors: 1 3 9 27 29 87 261 783 2957 8871 26613 79839 85753 257259 771777 2315331 4380113 13140339 39421017 118263051 127023277 381069831 1143209493 3429628479 12951994141 38855982423 116567947269 349703841807 375607830089 1126823490267 3380470470801 10141411412403